Light travels a distance   x   in time   t 1 in air and 10 x in time t 2 in another denser medium. What is the critical angle for this medium?

Step-by-step solution

Applying Snell's law for refraction from denser to rarer medium, we get μ d e n s e r × sin C = μ a i r × sin 90 ° ⇒ c v d e n s e r sin C = c v a i r × 1 ⇒ c 10 x t 2 sin C = c x t 1 ⇒ sin C = 10 t 1 t 2 ⇒ C = sin - 1 10 t 1 t 2